Finding the Third Proportional to 309,941 and 478,729.25

Step by Step Solution

1. Step 1: Write the proportion equation
   309,941 : 478,729.25 = 478,729.25 : x
2. Step 2: Convert to fraction form
   309,941/478,729.25 = 478,729.25/x
3. Step 3: Cross multiply
   309,941x = 478,729.25 × 478,729.25
4. Step 4: Simplify right side
   309,941x = 229,181,694,805.56
5. Step 5: Solve for x
   x = 229,181,694,805.56/309,941
6. Step 6: Final answer
   x = 739,436.52